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Finding the Fourth Proportional to 11,477.65, 15,814.06 and 8,968.07

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Solution

The fourth proportional to 11,477.65, 15,814.06 and 8,968.07 is: 12,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.65 : 15,814.06 = 8,968.07 : x
  2. Step 2: Convert to fraction form
    11,477.65/15,814.06 = 8,968.07/x
  3. Step 3: Cross multiply
    11,477.65x = 15,814.06 × 8,968.07
  4. Step 4: Simplify right side
    11,477.65x = 141,821,550.45
  5. Step 5: Solve for x
    x = 141,821,550.45/11,477.65
  6. Step 6: Final answer
    x = 12,356.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.